There are two ways to repair this. The first way is to try to reglue the existing hinge back where it belongs. The second approach is to cut off all the hinges and re-glue new hinges in new places. The first method is less work if you can do it. If you can post some pictures that would help. I'd use epoxy glue. What type of hinge is it? Does it have a metal pin like a door hinge? Or is it a "CA HInge" made of a fabric-covered plastic strip?